Correct Wavelet-Based Multilevel Numerical Method of Local Solution of Boundary Problems of Structural Analysis

Author:

Akimov Pavel A.1,Mozgaleva Marina L.1

Affiliation:

1. Moscow State University of Civil Engineering

Abstract

The distinctive paper is devoted to correct wavelet-based multilevel numerical method of local solution of boundary problems of structural analysis. Operational and variational formulations of the problem (particularly with the use of wavelet basis) are presented. Computer-oriented algorithms of fast direct and inverse discrete Haar transforms are described. Due to special algorithms of averaging within multigrid approach, reduction of the problem is provided.

Publisher

Trans Tech Publications, Ltd.

Reference6 articles.

1. Akimov P.A., Sidorov V.N.: Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients. Advanced Materials Research Vols. 250-253, 2011, pp.3652-3655.

2. Akimov P.A., Mozgaleva M.L., Sidorov V.N.: Fundamentals of Wavelet-based Multilevel Numerical Methods of Local Structural Analysis. International Journal for Computational Civil and Structural Engineering. Volume 7, Issue 3, 2011, pp.20-42.

3. Burrus C.S., Copinath R.A., Guo H.: Introduction to Wavelets and Wavelet Transforms. New Jersey, Prentice-Hall Inc., 1998, 268 pages.

4. Chui C.K.: Introduction to Wavelets. Academic Press, 1992, 266 pages.

5. Daubechies I.: Ten Lectures on Wavelets. New Jersey, SIAM, 1992, 357 pages.

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